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Finding the Fourth Proportional to 8,496.36, 11,727 and 5,668.20

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Solution

The fourth proportional to 8,496.36, 11,727 and 5,668.20 is: 7,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.36 : 11,727 = 5,668.20 : x
  2. Step 2: Convert to fraction form
    8,496.36/11,727 = 5,668.20/x
  3. Step 3: Cross multiply
    8,496.36x = 11,727 × 5,668.20
  4. Step 4: Simplify right side
    8,496.36x = 66,470,981.40
  5. Step 5: Solve for x
    x = 66,470,981.40/8,496.36
  6. Step 6: Final answer
    x = 7,823.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.